A fraction becomes 1/4 when 2 is subtracted from the numerator and 3 is added to thedenominator. Represent this situation as a linear equation in two variables. Also, findtwo solutions for this.
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y+3
x−2
=
4
1
⇒4x−8=y+3
⇒4x−y=3+8
⇒4x−y=11
∴4x−y−11=0
is a linear equation representing x and y as two variables.
Now,
When x=0,y=−11 and when y=0, x=
4
11
Hence, (0,−11) and (
4
11
,0) are the two solutions for this equation.
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